On weakly symmetric generalized trans-sasakian manifold
In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold and it has been shown that on such manifold if any two of the vector fields , defined by equation (0.3) are orthogonal to , then the third will also be orthogonal to . We have also proved that the scalar curvature of weakly symmetric generalized Trans-Sasakian manifold , satisfies the equation , where and are smooth function and .